Research
Papers
On Hodge decomposition, effective viscous flux and compressible Navier-Stokes (with H. Frid and J.F.C. Nariyoshi). Commun. Math. Anal. Appl., 3, pp. 19-60 (2024) [Journal] [arXiv]
Invariant measures for stochastic conservation laws with Lipschitz flux in the space of almost periodic functions (with C. Espitia and H. Frid ) - J. Differential Equations. 376, 39-70 (2023) [Journal] [arXiv]
A Boundary Value Problem for a Class of Anisotropic Stochastic Degenerate Parabolic-Hyperbolic Equations (with H. Frid, Y. Li, J.F.C. Nariyoshi and Z. Zeng) . J. Funct. Anal. 53(9), 110101 (2023) [Journal] [arXiv]
Invariant measures for stochastic parabolic-hyperbolic equations in the space of almost periodic functions: Lipschitz flux case (with C. Espitia and H. Frid) - J. Hyperbolic Differ. Equ. 20, No. 03, pp. 745-792 (2023) [arXiv] [Journal]
Homogenization of stochastic conservation laws with multiplicative noise (with H. Frid and K.H. Karlsen). J. Funct. Anal. (2022) [Journal (open access)] [arXiv]
The Dirichlet problem for stochastic degenerate parabolic-hyperbolic equations (with H. Frid, Y. Li, J.F.C. Nariyoshi and Z. Zeng). CMAA . 1 (1), 1-71.(2022) [Journal]
The Strong Trace Property and the Neumann Problem for Stochastic Conservation Laws (with H. Frid, Y. Li, J.F.C. Nariyoshi and Z. Zeng). Stoch PDE: Anal Comp. 10, 1392–1450. (2022) [Journal] [Link] [arXiv]
Global Smooth Solutions with Large Data for a System Modeling Aurora Type Phenomena in the 2-Torus (with H. Frid and J.F.C. Nariyoshi). SIAM J. Math. Anal. 53(1), 1122–1167. (2021) [Journal] [arXiv]
Vanishing Viscosity Limit of Short Wave-Long Wave Interactions in Planar Magnetohydrodynamics. J. Differential Equations, 266(12), 8110-8163. (2019) [Journal] [arXiv]
Modeling Aurora Type Phenomena by Short Wave-Long Wave Interactions in Multidimensional Large Magnetohydrodynamic Flows (with H. Frid and R. Pan). SIAM J. Math. Anal., 50(6), 6156–6195. (2018) [Journal][arXiv]
Preprints
Global weak solutions for the compressible Poisson-Nernst-Planck-Navier-Stokes System (with D. Wang). Preprint (2024) [arXiv]
Papers on conference proceedings
Recent Progress on the Study of the Short Wave-Long Wave Interactions System for Aurora-Type Phenomena. Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Seventeenth International Conference on Hyperbolic Problems. pp. 554-561. (2020). [Link]